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Finding the Fourth Proportional to 24,703.20, 37,022.04 and 13,024.68

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Solution

The fourth proportional to 24,703.20, 37,022.04 and 13,024.68 is: 19,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,703.20 : 37,022.04 = 13,024.68 : x
  2. Step 2: Convert to fraction form
    24,703.20/37,022.04 = 13,024.68/x
  3. Step 3: Cross multiply
    24,703.20x = 37,022.04 × 13,024.68
  4. Step 4: Simplify right side
    24,703.20x = 482,200,223.95
  5. Step 5: Solve for x
    x = 482,200,223.95/24,703.20
  6. Step 6: Final answer
    x = 19,519.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.